Problem 1
Assign the symmetry point group to the following molecules: (a) Benzene (b) \(\mathrm{H}_{2} \mathrm{O}\) (c) \(\mathrm{C}_{2} \mathrm{H}_{4}\) (d) Acetylene
Problem 2
Determine the number of symmetry elements for the following molecules: (a) \(\mathrm{SO}_{2}\) (b) \(\mathrm{CCl}_{4}\) (c) \(\mathrm{Fe}(\mathrm{CN})_{6}^{3-}\) (d) \(\mathrm{H}_{2} \mathrm{O}_{2}\)
Problem 3
Determine the number of symmetry operations for the following molecules: (a) \(\mathrm{S}_{8}\) (b) \(\mathrm{PF}_{5}\) (c) Ferrocene (d) \(\mathrm{PtCl}_{4}^{2-}\)
Problem 4
Determine the number of symmetry operations and assign the symmetry point group to the following molecules: (a) Ruthacene (b) \(\mathrm{N}_{2} \mathrm{O}\) (c) \(\mathrm{PCl}_{5}\) (d) trans \(-\mathrm{N}_{2} \mathrm{~F}_{2}\) (e) \(\mathrm{BF}_{3}\) (f) \(\mathrm{CO}_{2}\) (g) \(\mathrm{N}_{2} \mathrm{O}_{4}\) (h) \(\mathrm{POCl}_{3}\) (i) Acetaldehyde (i) Diborane
Problem 5
Write the multiplication table for \(\mathrm{C}_{2}\), point group.
Problem 7
Discuss the rules for writing Mulliken's symbols.
Problem 8
Determine the irreducible representation for the following: (a) \(\mathrm{C}_{2 v}\) point group (b) Set of \(p\) -orbitals
Problem 10
Discuss the splitting of \(d\) -orbitals in octahedral ligand field environment on the basis of group theory.
Problem 11
Discuss the three laws of crystallography.
Problem 12
What are the elements of symmetry? What do you understand by diad and tetrad rotation axis?
